What model from the base, A1xxx?
Dead is not at all unusual for Gen 1 and Gen 2 products.. lots have already died.. alot that survived to now have reached EOL..
Leave it off until it fully cools down and see what happens but good chance the above models will survive only a short time.
Fix or replace.
If newer model it could be in warranty/applecare.. most of the older ones will no longer be under warranty.